Robust dynamical effects in traffic and chaotic maps on trees

Pramana

Zoran Levnajić¹  Bosiljka Tadić1¹ 

[1] Department of Theoretical Physics, Jo·zef Stefan Institute, Box 3000 SI-1001 Ljubljana, Slovenia$$

关键词: Networks;    traffic;    chaos;    return-times.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In the dynamic processes on networks collective effects emerge due to the couplings between nodes, where the network structure may play an important role. Interaction along many network links in the nonlinear dynamics may lead to a kind of chaotic collective behavior. Here we study two types of well-defined diffusive dynamics on scale-free trees: traffic of packets as navigated random walks, and chaotic standard maps coupled along the network links. We show that in both cases robust collective dynamic effects appear, which can be measured statistically and related to non-ergodicity of the dynamics on the network. Specifically, we find universal features in the fluctuations of time series and appropriately defined return-time statistics.

【 授权许可】

Unknown